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Finding the Fourth Proportional to 8,525.89, 12,794.81 and 4,773.77

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Solution

The fourth proportional to 8,525.89, 12,794.81 and 4,773.77 is: 7,164.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,525.89 : 12,794.81 = 4,773.77 : x
  2. Step 2: Convert to fraction form
    8,525.89/12,794.81 = 4,773.77/x
  3. Step 3: Cross multiply
    8,525.89x = 12,794.81 × 4,773.77
  4. Step 4: Simplify right side
    8,525.89x = 61,079,467.12
  5. Step 5: Solve for x
    x = 61,079,467.12/8,525.89
  6. Step 6: Final answer
    x = 7,164.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.